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427825540 = 225531732333
BaseRepresentation
bin11001100000000…
…001100110000100
31002211000210022101
4121200001212010
51334010404130
6110241441444
713413312532
oct3140014604
91084023271
10427825540
111aa55072a
12bb340284
136a83490c
1440b69152
152785d1ca
hex19801984

427825540 has 48 divisors (see below), whose sum is σ = 921071088. Its totient is φ = 166859264.

The previous prime is 427825511. The next prime is 427825543. The reversal of 427825540 is 45528724.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17438976 + 410386564 = 4176^2 + 20258^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 427825540.

It is not an unprimeable number, because it can be changed into a prime (427825543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182214 + ... + 184546.

It is an arithmetic number, because the mean of its divisors is an integer number (19188981).

Almost surely, 2427825540 is an apocalyptic number.

It is an amenable number.

427825540 is an abundant number, since it is smaller than the sum of its proper divisors (493245548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427825540 is a wasteful number, since it uses less digits than its factorization.

427825540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 427825540 is about 20683.9440146216. The cubic root of 427825540 is about 753.5097954194.

The spelling of 427825540 in words is "four hundred twenty-seven million, eight hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 173 212 265 346 530 692 865 1060 1730 2333 3460 4666 9169 9332 11665 18338 23330 36676 45845 46660 91690 123649 183380 247298 403609 494596 618245 807218 1236490 1614436 2018045 2472980 4036090 8072180 21391277 42782554 85565108 106956385 213912770 427825540